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Korolek [52]
3 years ago
14

Selena is driving to visit her grandmother who lives 325 miles away from Selena home. she travels an average of 60 miles per hou

r. Determine the independent and dependent quantities in each scenario. Be sure to include the appropriate units of measure for each quantity
Mathematics
1 answer:
GalinKa [24]3 years ago
4 0

Answer:

Step-by-step explanation:

independent quantity=60 m/h

dependent =time taken=t

60 t=325

t=325/60=65/12=5 5/12 hours

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Samuel is preventing a boulder from rolling down a hill with a slope of 35°. If the boulder
Rashid [163]

Answer:

1,809.98 lb*m/s^2

Step-by-step explanation:

First, we want to know how much weight of the boulder is projected along the path in which the boulder can move.

The weight of the boulder is:

W = 322lb*9.8 m/s^2 = (3,155.6 lb*m/s^2)

This weight has a direction that is vertical, pointing downwards.

Now, we know that the angle of the hill is 35°

The angle that makes the direction of the weight and this angle, is:

(90° - 35°)

(A rough sketch of this situation can be seen in the image below)

Then we need to project the weight over this direction, and that will be given by:

P = W*cos(90° - 35°) = (3,155.6 lb*m/s^2)*cos(55°) = 1,809.98 lb*m/s^2

This is the force that Samuel needs to exert on the boulder if he wants the boulder to not roll down.

3 0
3 years ago
Simplify. <img src="https://tex.z-dn.net/?f=%5Csqrt%7B15%7D" id="TexFormula1" title="\sqrt{15}" alt="\sqrt{15}" align="absmiddle
jolli1 [7]

Answer:

I think its 15.58

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the answer of the expression<br> 325-[4x(58-19)+(75 divided by 3
inna [77]
325 - [4(58 - 19) + (75 / 3)]

Divide:

325 - [4(58 - 19) + 25]

Distribute 4:

325 - [232 - 76 + 25]

Subtract:

325 - [156 + 25]

Add:

325 - [181]

Subtract:

144
4 0
3 years ago
What is the height in meters of a person who is 6 ft 1.0 in. tall? (assume that 1 meter equals 39.37 in.)?
Romashka [77]
1 foot = 12 inch so 6 feet = 6*12 inch
6 feet = 72 inch

The height of the person in inch is = 72+1 = 73 inch

1 meter.............39.37 in
x meters.......... 73 in

x = 73/39.37 = 1.85 meters
8 0
4 years ago
Translate to an algebraic expression 35 less than y. 40 POINTS EASY!!!!!!!!!
alina1380 [7]

Answer:

Step-by-step explanation:

y - 35

7 0
3 years ago
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